A) \[{{a}^{3}}+{{b}^{3}}\]
B) \[{{a}^{3}}-{{b}^{3}}\]
C) \[{{a}^{2}}+{{b}^{2}}\]
D) \[{{a}^{2}}-{{b}^{2}}\]
Correct Answer: A
Solution :
\[(a+b)\,(a+b\omega )\,(a+b{{\omega }^{2}})\] \[=\,(a+b)\,({{a}^{2}}+ab\,(\omega +{{\omega }^{2}})+{{b}^{2}}{{\omega }^{3}})\] \[=(a+b)\,({{a}^{2}}-ab+{{b}^{2}})\,=\,{{a}^{3}}+{{b}^{3}}\].You need to login to perform this action.
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